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A Thermal Wave Approach for Heat Transfer in a Nonuniform Soil

GenCorp Aerojet, 1100 W. Hollyvale St., Azusa, CA 91702 USA

View larger version (11K): [in a new window]   Fig. 1 Problem formulation

View larger version (20K): [in a new window]   Fig. 2 Logarithm of the magnitude of the frequency-dependent temperature amplitude -log|T(z,)/T(0,)| for a soil having thermal properties described by the increasing (labeled 1) and decreasing (labeled 2) exponential profiles of Eq. [26] (N = 50 sublayers)

View larger version (20K): [in a new window]   Fig. 3 Phase of the frequency-dependent temperature -(z,) for a soil having thermal properties described by the increasing (labeled 1) and decreasing (labeled 2) exponential profiles of Eq. [26] (N = 50 sublayers)

View larger version (17K): [in a new window]   Fig. 4 The logarithm of the first derivative of frequency-dependent temperature amplitude -log|T'(z,)/T'(0,) for a soil having thermal properties described by the increasing (labeled 1) and decreasing (labeled 2) exponential profiles of Eq. [26] (N = 50 sublayers)

View larger version (20K): [in a new window]   Fig. 5 The phase difference |(z,) - d(z,)| for a soil having thermal properties described by the increasing (labeled 1) and decreasing (labeled 2) exponential profiles of Eq. [26] (N = 50 sublayers)

View larger version (19K): [in a new window]   Fig. 6 The time-dependent temperature for a soil having thermal properties described by the increasing linear profile of Eq. [31]

View larger version (19K): [in a new window]   Fig. 7 The time-dependent temperature for a soil having thermal properties described by the decreasing linear profile of Eq. [31]